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Finding the Fourth Proportional to 415,422.40, 623,133.60 and 257,828.80

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Solution

The fourth proportional to 415,422.40, 623,133.60 and 257,828.80 is: 386,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.40 : 623,133.60 = 257,828.80 : x
  2. Step 2: Convert to fraction form
    415,422.40/623,133.60 = 257,828.80/x
  3. Step 3: Cross multiply
    415,422.40x = 623,133.60 × 257,828.80
  4. Step 4: Simplify right side
    415,422.40x = 160,661,788,327.68
  5. Step 5: Solve for x
    x = 160,661,788,327.68/415,422.40
  6. Step 6: Final answer
    x = 386,743.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.